In this paper,we discussed the periodicity and the asymptotic behavior of Fibonacci sequence modulo π:yn+ 2 = (yn+1+yn )modπ and the difference equation M which is conected to the sequence.

Varying-step correlation analysis and identification algorithm based on the Fibonacci sequence;

Some properties of Lucas sequence and Fibonacci sequence;

Some properties of Fibonacci sequence;

The linear recursion of continuous k+2 numbers in the k-times sequence of Fibonacci number {F_n~k};

The sequence of Fibonacci number is a typical problem in recursion relation,The paper discusses that there exists linear connection among seven continuous numbers in the fifth of sequence of Fibonacci number.

The sequence of Fibonacci number is a typical problem in recursion relation.

On Some properties of the Chebyshev polynomials ahd the Fibonacci sequences;

Making use of Fibonacci sequences s self-similarity and the sensitivity of logistic mapping to the initial value under chaotic condition, the Fibonacci sequence and chaotic mapping are mixed together to generate a chaotic pseudo-random sequence with logistic mapping as chaotic model.

Exploration of the Way in the Finding of the Formula of Fibonacci Series;

Furthermore,by using Lucas series instead of Fibonacci series,we put forward the advanced Fibonacci searching method applied in optimization theory.

According to the generalized Fibonacci series, the fractal dimention, Df(p,q)=lnN/2ln( ) is obtained for thecritical state, here p and q are the parameters relating to the human activity and the natu.